Question for null space of a matrix

[shiecldk]

Let A be a 4×3 matrix and let
c=2a1+a2+a3

(a) If N(A) = {0}, what can you conclude about the solutions to the linear system Ax=c?

(b) If N(A) ≠ {0}, how many solutions will the system Ax=c have? Explain.

 

[I like Serena]

Let A be a 4×3 matrix and let
c=2a1+a2+a3

(a) If N(A) = {0}, what can you conclude about the solutions to the linear system Ax=c?

(b) If N(A) ≠ {0}, how many solutions will the system Ax=c have? Explain.

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